try substituting values for a.
for a=1, 2 it's > 50
for a=3, 4, 5, 6, 7... it's less than 50
when a approaches 48, 49... it's > 50
the max value of a that satisfies the condition is 47.

p= total numbers between 3 and 47 (inclusive of 3 and 47)
                        /
     total numbers between 1 and 100

= 45/98

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